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vovangra [49]
3 years ago
14

A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per

child. They will only take the boat out if they have sold at least $250 worth of tickets. Let a be the number of adults who take the cruise and c be the number of children. Will they take the boat out if they 14 adults and 9 children buy tickets? Justify.
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

No

Step-by-step explanation:

For the adults:

$12 times the 14 adults which is: $168

Then for the kids:

$5 times the 9 kids which is: $45

Add next:

$168 plus the $45 equals $213

A(14)+b(5)=c

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many
REY [17]
What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

A= \pi  r^{2}

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}

Let's name n the number of slices, if we divide the total area by n this result, each area  must equal, then:

\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}

Finally, we will be able to cut:

n= \frac{2\pi}{\theta} Slices

7 0
3 years ago
Sasha is the manager at a factory.
FromTheMoon [43]

Answer:

Hi

I think the answer is 80 employees.

Step-by-step explanation:

15 employees - 390 wardrobes

Therefore 1200 divided by 15 equals 80

7 0
2 years ago
Find the area of the square rug if it is side is (7X +4) feet.
likoan [24]

Answer:

49x^{2}+56x+16 ft squared.

Step-by-step explanation:

Alright, so we are given that we have a rug that has a side of 7x+4 feet. With this information, we are able to determine the area of the square rug. Considering that it is a square rug, all the sides are equal to each other because a square has four equal sides and angles.

To solve this, you can do it in two ways.

One, write it as (7x+4)2. That 2 is supposed to represent squared.

If you know the rule, this is a perfect square trinomial.

The formula is a squared plus 2ab plus b squared. 7 and 4 are your a and b values. 7x squared is 49x squared and 4 squared is 16.

2ab, multiply 2 times 7x times 4. That is 56x.

Therefore, the area is 49xsquared plus 56x+16.

Another way is to write it like this (7x+4) (7x+4).

Since it is an exponent, we are multiplying the same thing two times. Apply the Distributive Property.

E.G. 2(x+5)= 2x+10.

With this, you are distributing two numbers into another two numbers. 7x times 7x is 49x squared and 7x times 4 is 28x. Then, go to 4. 4 times 7x is also 28 x and 4 times 4 is 16. Now, combine the like terms. 49x squared plus 28x plus 28x or 56x plus 16.

This represents your area.

I hope this helps, and I hope you have a good day!

5 0
3 years ago
Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bill
Nezavi [6.7K]

Answer:

Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.

then:

x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

x = y + 1

First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

(y + 1)*$1 + y*$5 = $49

now we can solve this for y.

y*$1 + $1 + y*$5 = $49

y*($1 + $5) = $49 - $1 = $48

y*$6 = $48

y = $48/$6 = 8

He has 8 $5 bills

and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

8 0
3 years ago
Is 84 - 74 even or odd​
quester [9]

Answer:

even

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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